Triangulated Categories of Singularities and D-Branes in Landau--Ginzburg Models

D. O. Orlov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 240-262.

Résumé

Triangulated categories of singularities are defined and their main properties are investigated. A connection between categories of such type and categories of D-brane of B type in Landau–Ginzburg models is established. This connection is interesting by its applications to mirror symmetry.

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